由箭图诱导的分次Frobenius代数及其扭超势  

Graded Frobenius Algebras Induced by Quivers with Twisted Superpotentials

作　　者：陈斌[1] 俞晓岚[1] CHEN Bin;YU Xiaolan(School of Science,Hangzhou Normal University,Hangzhou 311121,China)

机构地区：[1]杭州师范大学理学院,浙江杭州311121

出　　处：《杭州师范大学学报（自然科学版）》2020年第5期517-525,共9页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11871186).

摘　　要：本文讨论由箭图诱导的分次Frobenius代数,利用代数的Frobenius形式来研究箭图的几何性质.将分次Frobenius代数从连通的情形推广到非连通的情形中去,并通过扭超势构造这类由箭图诱导的分次Frobenius代数.Graded Frobenius algebras induced by quivers are discussed in this paper.The geometric properties of quivers are expressed through Frobenius form of algebras.Graded Frobenius algebras are genenalized from connected cases to non-connected ones,and this class of graded Frobenius algebras induced by quivers is constructed by twisted superpotentials.

关 键 词：箭图 FROBENIUS代数 扭超势 

分 类 号：O153[理学—数学]